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New exact solutions to the -dimensional Konopelchenko–Dubrovsky equation

✍ Scribed by Yang Wang; Long Wei

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
214 KB
Volume
15
Category
Article
ISSN
1007-5704

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✦ Synopsis

In this paper, the extended tanh method, the sech-csch ansatz, the Hirota's bilinear formalism combined with the simplified Hereman form and the Darboux transformation method are applied to determine the traveling wave solutions and other kinds of exact solutions for the ð2 þ 1Þ-dimensional Konopelchenko-Dubrovsky equation and abundant new soliton solutions, kink solutions, periodic wave solutions and complexiton solutions are formally derived. The work confirms the significant features of the employed methods and shows the variety of the obtained solutions.

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